Abstract
AA stacked bilayer graphene has a band structure consisting of two Dirac cones, bonding and antibonding, displaced in energies. In absence of interaction between electrons, the system is metallic and the Fermi surface consists of circles in the bonding and antibonding bands which coincides exactly. In presence of interaction between electrons the system is unstable to the condensation of bonding-like electrons and antibonding-like holes. The properties and the critical temperature of this gapped phase depends strongly on the screening on the interaction between pairs at large distances. In this work we study the polarizability and the intra and interlayer screened Coulomb interactions of a AA-stacked bilayer graphene for different energy gaps in the spectrum. We obtain that the existence of a gap suppress the screening at small wavevectors. Our results indcates the importance of a self-consistent treatment of the screening in the study of gapped phases in AA stacked bilayer graphene.
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References
Castro-Neto AH, Guinea F, Peres NMR, Novoselov KS, Geim AK (2009) The electronic properties of graphene. Rev Mod Phys 81:109
McCann E, Koshino M (2013) The electronic properties of bilayer graphene. Rep Prog Phys 76:056503
Lopes dos Santos JMB, Peres NMR, Castro Neto AH (2007) Graphene bilayer with a twist: electronic structure. Phys Rev Lett 99:256802
Suárez Morell E, Vargas P, Chico L, Brey L (2011) Charge redistribution and interlayer coupling in twisted bilayer graphene under electric fields. Phys Rev B 84:195421
Liu Z, Suenaga K, Harris PJF, Iijima S (2009) Open and closed edges of graphene layers. Phys Rev Lett 102:015501
de Andres PL, Ramirez R, Vergés JA (2008) Strong covalent bonding between two graphene layers. Phys Rev B 77:045403
Prada E, San-Jose P, Brey L, Fertig HA (2011) Band topology and the quantum spin hall effect in bilayer graphene. Solid State Commun 151(16):1075–1083
Berashevich J, Chakraborty T (2011) Interlayer repulsion and decoupling effects in stacked turbostratic graphene flakes. Phys Rev B 84:033403
Tabert CJ, Nicol EJ (2012) Dynamical conductivity of AA-stacked bilayer graphene. Phys Rev B 86:075439
Rakhmanov AL, Rozhkov AV, Sboychakov AO, Nori F (2012) Instabilities of the AA-stacked graphene bilayer. Phys Rev Lett 109:206801
Keldysh LV, Kopoev YV (1965) Possible instability of semimetallic state toward coulomb interaction. Sov Phys Solid State 6:2219
Lozovik YE, Yudson VI (December 1975) Feasibility of superfluidity of paired spatially separated electrons and holes; a new superconductivity mechanism. Sov J Exp Theor Phys Lett 22:274
Min H, Bistritzer R, Su J-J, MacDonald AH (2008) Room-temperature superfluidity in graphene bilayers. Phys Rev B 78:121401
Zhang C-H, Joglekar YN (2008) Excitonic condensation of massless fermions in graphene bilayers. Phys Rev B 77:233405
Kharitonov MY, Efetov KB (2008) Electron screening and excitonic condensation in double-layer graphene systems. Phys Rev B 78:241401
Kharitonov MY, Efetov KB (2010) Excitonic condensation in a double-layer graphene system. Semicond Sci Technol 25(3):034004
Abergel DSL, Sensarma R, Das Sarma, S (2012) Density fluctuation effects on the exciton condensate in double layer graphene. Phys Rev B 86:161412(R)
Sodemann I, Pesin DA, MacDonald AH (2012) Interaction-enhanced coherence between two-dimensional Dirac layers. Phys Rev B 85:195136
Lozovik YE, Ogarkov SL, Sokolik AA (2010) Electronelectron and electronhole pairing in graphene structures. Philos Trans R Soc A Math Phys Eng Sci 368(1932):5417–5429
Lozovik YE, Ogarkov SL, Sokolik AA (2012) Condensation of electron-hole pairs in a two-layer graphene system: correlation effects. Phys Rev B 86:045429
Wunsch B, Stauber T, Sols F, Guinea F (2006) Dynamical polarization of graphene at finite doping. New J Phys 8(12):318
Hwang EH, Das Sarma S (2007) Dielectric function, screening, and plasmons in two-dimensional graphene. Phys Rev B 75:205418
Acknowledgements
The author wants to thank Prof. H.A.Fertig for enlightening discussions. Funding for the work described here was provided by MICINN-SPAIN via grant No. FIS2009-08744.
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Brey, L. (2013). Dielectric Constant and Screened Interactions in AA Stacked Bilayer Graphene. In: Egger, R., Matrasulov, D., Rakhimov, K. (eds) Low-Dimensional Functional Materials. NATO Science for Peace and Security Series B: Physics and Biophysics. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6618-1_3
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DOI: https://doi.org/10.1007/978-94-007-6618-1_3
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